Some Observations on Boundary Conditions for the Shallow-water Equations in Two Space Dimensions

Edwards, N. A.; Please, Colin P.; Preston, R.W.

doi:10.1093/imamat/30.2.161

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2007

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“…schemes do not converge with the high rates obtained in Example 4.1. This is in accordance with the discussion in [19,3,5], which predicts that a no-slip inflow boundary condition will result in a loss of smoothness in the whole domain, for computations on very fine grids.…”

Section: 3supporting

confidence: 91%

High-order well-balanced finite-volume schemes for barotropic flows: Development and numerical comparisons

et al. 2007

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In this paper we compare a classical finite-difference and a high order finitevolume scheme for barotropic ocean flows. We compare the schemes with respect to their accuracy, stability, and study various outflow and inflow boundary conditions. We apply the schemes to the problem of eddy formation in shelf slope jets along the Ormen Lange section of the Norwegian shelf. Our results strongly confirm the development of mesoscale eddies caused by instability of the flows.

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Section: 3supporting

confidence: 91%